等重叠率螺旋线的非球面抛光轨迹规划

发布时间：2018-04-06 20:35

本文选题：非球面　切入点：抛光　出处：《西安交通大学学报》2015年06期

【摘要】：为改善抛光轨迹以获得更好的加工精度,分析了轨迹在非球面上所产生的去除区域的覆盖情况,并提出了一种等重叠率螺旋线抛光轨迹规划方法。基于赫兹接触理论的去除区域的覆盖情况分析表明,常用的阿基米德螺旋线由于弹性接触变化和投影行距变化导致轨迹间去除区域接触变化,从而不能保证加工精度均匀一致,为此引入了重叠率的概念以量化分析该变化情况。提出的轨迹规划方法分析了重叠率的变化特点,并依据螺旋线的性质建立了螺旋线行距与非球面面形的变化关系,保证了轨迹间去除区域的稳定接触。仿真结果表明,在非球面抛光过程中应用等重叠率螺旋线轨迹,重叠率变化范围从阿基米德螺旋线轨迹的56.1%~26.2%缩小到现在方法的56.1%~55.3%,为非球面抛光的均匀性和一致性奠定了基础。
[Abstract]:In order to improve the polishing trajectory and obtain better machining accuracy, the coverage of the removed area produced by the trajectory on the aspherical surface is analyzed, and a method of trajectory planning for the spiral polishing with equal overlap rate is proposed.The analysis of the coverage of the removal area based on Hertz contact theory shows that the commonly used Archimedes helix can not guarantee the uniform machining accuracy due to the change of elastic contact and the change of projection distance.For this reason, the concept of overlap rate is introduced to quantitatively analyze the change.The proposed trajectory planning method analyzes the characteristics of the overlap rate and establishes the relationship between the helix distance and the aspherical surface according to the properties of the helix which ensures the stable contact between the removal regions of the trajectories.The simulation results show that the uniform overlap rate spiral trajectory is applied in the process of aspheric surface polishing, and the variation range of overlap rate is reduced from 56. 1% to 56. 1% of the Archimedes spiral trajectory to 56. 1% and 55. 3% of the present method, which lays a foundation for the uniformity and consistency of the aspheric polishing.
【作者单位】：吉林大学机械科学与工程学院;苏州大学机器人与微系统研究中心;
【基金】：国家重点基础研究发展计划资助项目(2011CB706702)
【分类号】：TG580.692

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